Automorphism groups of Weyl-type algebras

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	Automorphism groups of Weyl-type algebras
	Lu, RC; Zhao, KM
	2002-02-01
发表期刊	MANUSCRIPTA MATHEMATICA
ISSN	0025-2611
卷号	107 期号:2 页码:207-214
摘要	Let F be a field of characteristic 0, x(1), x(2),..., x(n) be n commuting variables over F, and F(x(1), x(2),..., x(n)) be the field of all rational functions. Let D = +(n)(i=1) Fx(i) partial derivative/partial derivativex(i). We have the simple Weyl type algebra A = F(x(1), x(2),..., x(n))[D]. In this paper, the automorphism group Aut A of the associative algebra A and the automorphism group AutA(L) of the Lie algebra A(L) are determined, and it is proved that Aut A(L) = Z(2) x Aut A.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000174815300005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17778
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, RC
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lu, RC,Zhao, KM. Automorphism groups of Weyl-type algebras[J]. MANUSCRIPTA MATHEMATICA,2002,107(2):207-214.
APA	Lu, RC,&Zhao, KM.(2002).Automorphism groups of Weyl-type algebras.MANUSCRIPTA MATHEMATICA,107(2),207-214.
MLA	Lu, RC,et al."Automorphism groups of Weyl-type algebras".MANUSCRIPTA MATHEMATICA 107.2(2002):207-214.